Question

Solve for x: 5^x/5^14=1/5^5

Answer 1

`(1 \\ )/(3125)`

Answer 2

x = 9

Explanation:

Law of exponents:

`\sf (a^m)/(a^n)=a^(m-n)\\\\\\ (1)/(a^m)=a^(-m)`

`\sf (5^x)/(5^(14))=(1)/(5^5)\\\\5^(x -14) = 5^(-5)`

Base are same. Compare the exponents.

x - 14 = -5

x = -5 + 14 {Addition property of equality}

x = 9